Q: The distance between a rectangle's length and perimeter is 100 cm. What is the rectangle's width?  

<span class="pln">
</span><span class="typ">Let</span><span class="pln"> the length </span><span class="kwd">of</span><span class="pln"> the rectangle be </span><span class="str">'x'</span><span class="pln"> </span><span class="kwd">and</span><span class="pln"> breadth </span><span class="kwd">of</span><span class="pln"> the rectangle be </span><span class="str">'y'</span><span class="pln">

</span><span class="typ">According</span><span class="pln"> to the question</span><span class="pun">:</span><span class="pln">

</span><span class="lit">2</span><span class="pun">(</span><span class="pln">x </span><span class="pun">+</span><span class="pln"> y</span><span class="pun">)</span><span class="pln"> </span><span class="pun">-</span><span class="pln"> x </span><span class="pun">=</span><span class="pln"> </span><span class="lit">100</span><span class="pln">

</span><span class="lit">2x</span><span class="pln"> </span><span class="pun">+</span><span class="pln"> </span><span class="lit">2y</span><span class="pln"> </span><span class="pun">-</span><span class="pln"> x </span><span class="pun">=</span><span class="pln"> </span><span class="lit">100</span><span class="pln">

x </span><span class="pun">+</span><span class="pln"> </span><span class="lit">2y</span><span class="pln"> </span><span class="pun">=</span><span class="pln"> </span><span class="lit">100</span><span class="pln">

</span><span class="typ">From</span><span class="pln"> </span><span class="kwd">this</span><span class="pln"> we cannot find </span><span class="str">'y'</span><span class="pln"> </span><span class="pun">(</span><span class="pln">breadth</span><span class="pun">),</span><span class="pln"> so the given data </span><span class="kwd">is</span><span class="pln"> inadequate</span><span class="pun">.</span>